To solve the equation 5x + 2 = 5(x - 2) + 12, we can simplify both sides of the equation:
5x + 2 = 5x - 10 + 12
Next, we can combine like terms:
5x + 2 = 5x + 2
Since both sides of the equation are equal, the equation is true for all real numbers. Therefore, there are infinitely many solutions to this equation.
5x + 2 = 5(x - 2) + 12
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